What is 58 factorial ?

Steps to calculate factorial of 58

How to calculate the factorial of 58

To find 58 factorial, or 58!, simply use the formula that multiplies the number 58 by all positive whole numbers less than it.

Let's look at how to calculate the Factorial of Fifty-eight :

  58! is exactly : 2350561331282878571829474910515074683828862318181142924420699914240000000000000

  Factorial of 58 can be calculated as:
58! = 58 x 57 x 56 x 55 x ... x 3 x 2 x 1

  The number of trailing zeros in 58! is 13

  The number of digits in 58 factorial is 79.

What Is Factorial?

A factorial is showed by an integer and an exclamation mark. In arithmetic, factorial is a multiplication procedure of natural numbers .

It multiplies the number by every basic number that is less than it .

Symbolically, it is represented as "!".

The function is used, among other things, to get the "n" way objects can be structured .

Factorial Formula

To find the factorial of any given number, change the value for n in the given formulation :

n! = n × (n-1) × (n-2) × (n-3) × ….× 3 × 2 × 1

The expansion of the formula gives the numbers to be replicated to each other to find the factorial of the number.

We can also work out a factorial from the previous one. The factorial of any number is that number multiplied the factorial of (that number minus 1).

So the rule is : n! = n × (n−1)!

Example :
58! Factorial = 58 x 57 x 56 x 55 x ... x 3 x 2 x 1 = 58 × 57! = 2350561331282878571829474910515074683828862318181142924420699914240000000000000

What are Factorials Used For?

The best use of factorial is in Combinations and Permutations.

Example : Determine how to arrange letters without repeating?

There one way for 1 letter "a":
2 ways for two letters "ab": ab, ba.
There are 6 ways for 3 letters "abc": abc acb cab bac bca.
There are 24 ways for 1234 of the letters "abcd"

Frequently Asked Questions on Factorial

Can we have factorials for negative numbers ?

  Negative number factorials are undefined

What Is 0!

 Zero factorial or Factorial of 0 is simple, and its own value is corresponding to 1. So, 0! = 1.

Other conversions of the number 58